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math.GM2020
Some problems in mathematics and mathematical physics
Alexander Roi Stoyanovsky
We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and const…
math.GM2020
Non-Gaussian integrals and general hypergeometric functions
Alexander Roi Stoyanovsky
By a non-Gaussian integral we mean integral of the product of an arbitrary function and exponent of a polynomial. We develop a theory of such integrals, which generalizes and simpl…
math.GM2019★ 1 cited
A formula for inverse matrix
Alexander Roi Stoyanovsky
We give a formula for the inverse matrix to an infinite matrix with possibly noncommutative entries, generalizing the Newton interpolation formula and the Taylor formula.